161201728896 has 256 divisors, whose sum is σ = 468381144000. Its totient is φ = 49117446144.

The previous prime is 161201728879. The next prime is 161201728907. The reversal of 161201728896 is 698827102161.

It is a super-5 number, since 5×161201728896⁵ (a number of 57 digits) contains 55555 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91956756 + ... + 91958508.

Almost surely, 2^161201728896 is an apocalyptic number.

161201728896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161201728896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234190572000).

161201728896 is an abundant number, since it is smaller than the sum of its proper divisors (307179415104).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

161201728896 is a wasteful number, since it uses less digits than its factorization.

161201728896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1918 (or 1880 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 51.

The spelling of 161201728896 in words is "one hundred sixty-one billion, two hundred one million, seven hundred twenty-eight thousand, eight hundred ninety-six".